论文标题
挖掘和路径复合物的扭转
Torsion of digraphs and path complexes
论文作者
论文摘要
我们通过作者在\ cite {Grigoryan-Lin-Muranov-yau2013，Grigoryan-Lin-Lin-Muranov-yau2014，Grigoryan-Lin-Muranov-yauanov-yauyanon-grigoryann-lin-lin-lin-lin-lin-lin-lin-lin-lin-inn-linn-lin-lin-lin-lin-linn-lin-lin-lin-lin-lin-lin-lin-lin-linnin-linnin-linin中介绍的作者介绍的路径同源性理论的概念定义了有向图的扭转和分析扭转的概念。我们证明了扭转的两个概念的身份，并获得了笛卡尔产品扭转和挖沟的扭转的公式。
We define the notions of Reidemeister torsion and analytic torsion for directed graphs by means of the path homology theory introduced by the authors in \cite{Grigoryan-Lin-Muranov-Yau2013, Grigoryan-Lin-Muranov-Yau2014, Grigoryan-Lin-Muranov-Yau2015, Grigoryan-Lin-Muranov-Yau2020}. We prove the identity of the two notions of torsions as well as obtain formulas for torsions of Cartesian products and joins of digraphs.
